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aleksandrvk [35]
3 years ago
12

Ignore everything I wrote but I’m supposed to be writing two-column proofs and I need help with these

Mathematics
1 answer:
zavuch27 [327]3 years ago
7 0

What you have so far is perfect. You started with the given statements and then use the definition of midpoint to show that each piece is equal to one another.

From here, use the transitive property

We combine these two statements

  • WX = XY
  • XY = YZ

into the following

WX = YZ

So we can effectively say WX = XY = YZ meaning the segments WX, XY and YZ are all the same length.

Through similar logic, we can chain together

  • VW = WX
  • WX = XY

to get VW = XY

-------------

Consequently this means VW, WX, XY, and YZ are all the same length

Let's call that length m.

m = length of segment VW = length of WX = etc etc

This means,

VY = VW+WX+XY = m+m+m = 3m

and

WZ = WX+XY+YZ = m+m+m = 3m

Both VY and WZ are exactly 3m units long, therefore, VY = WZ

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What is the total surface area of the pyramid in square feet?
Elis [28]
Base is 12 feet square so 12 *12 = 144 square feet

each triangle has base of 12 feet and height of 8 feet
 area of triangle = 1/2 x base x height = 1/2 x 12 x 8 = 48 square feet

48 x 4 triangles = 192 square feet

total: 192 + 144 = 336 square feet
5 0
3 years ago
A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 35 adult Americans an
Y_Kistochka [10]

Answer: a) 15, b) 1.

Step-by-step explanation:

A researcher studying public opinion of proposed social security changes obtains a simple random sample of 35 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more Americans does the researcher need to sample in the following cases?

(a)    10% of all adult Americans support the changes

Here, np>5\ and\ n(1-p)>5

And , p=0.10

So, consider the equality, to find the value of 'n'.

np=5\\\\n\times 0.10=5\\\\n=\dfrac{5}{0.10}\\\\n=50

So, there are 50-35=15 more adult Americans needed.

(b)   15% of all adult Americans supports the changes

Here, p=0.15

So, again we get that

np=5\\\\n\times 0.15=5\\\\n=\dfrac{5}{0.15}\\\\n=33.33\\\\n\approx 34

So, there are 35-34=1 more adult Americans needed.

Hence, a) 15, b) 1.

5 0
3 years ago
Find the area of a triangle whose height is 2xand base is 2x+2
Charra [1.4K]
I hope this helps you

4 0
3 years ago
SOMEONE HELP ME WITH THIS MATH PLS
cluponka [151]

Answer: add

Step-by-step explanation:

6 0
2 years ago
1. 400 +4<br> 2. 320+ 4<br> 3. 360 +9<br> 4. 5,0005<br> 5. 3,000 +5
Liono4ka [1.6K]

Answer:

1. 400 ÷ 4 = 100

2. 320 ÷ 4 = 80

3. 360 ÷ 9 = 40

4. 5000 ÷ 5 = 1000

5. 3000 ÷ 5 = 600

6 0
3 years ago
Read 2 more answers
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